Search a number
-
+
16867863012 = 2237111317243113
BaseRepresentation
bin11111011010110011…
…10010100111100100
31121112112212020001010
433231121302213210
5234021133104022
611425440502220
71135000320120
oct175531624744
947475766033
1016867863012
117176518160
12332901a970
13178a80a040
14b60324580
1568acc550c
hex3ed6729e4

16867863012 has 576 divisors, whose sum is σ = 57949968384. Its totient is φ = 3684925440.

The previous prime is 16867862951. The next prime is 16867863031. The reversal of 16867863012 is 21036876861.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 149273068 + ... + 149273180.

It is an arithmetic number, because the mean of its divisors is an integer number (100607584).

Almost surely, 216867863012 is an apocalyptic number.

16867863012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16867863012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28974984192).

16867863012 is an abundant number, since it is smaller than the sum of its proper divisors (41082105372).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

16867863012 is a wasteful number, since it uses less digits than its factorization.

16867863012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 228 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 48.

The spelling of 16867863012 in words is "sixteen billion, eight hundred sixty-seven million, eight hundred sixty-three thousand, twelve".